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Finding the Fourth Proportional to 534.62, 801.27 and 226.13

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Solution

The fourth proportional to 534.62, 801.27 and 226.13 is: 338.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.62 : 801.27 = 226.13 : x
  2. Step 2: Convert to fraction form
    534.62/801.27 = 226.13/x
  3. Step 3: Cross multiply
    534.62x = 801.27 × 226.13
  4. Step 4: Simplify right side
    534.62x = 181,187.18
  5. Step 5: Solve for x
    x = 181,187.18/534.62
  6. Step 6: Final answer
    x = 338.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.